Question

Simplify:

(2) 4 × 10 + 4 × (–12)

Answer 1

4 × 10 + 4 × (–12)
Let us first solve the multiplication.
4 × 10 = 40 (∵ product of two positive integers is always positive)
The expression gets reduced to
40 + 4 × (–12)

Now, let us solve the second multiplication.
The magnitude of (–12) is 12.
So, the product of the magnitude is 48.
Since the product of a negative and a positive integer is always negative, the result is (–48).
The expression gets reduced to
40 + (–48)
Ignoring the signs, let us subtract the smaller number from the bigger number.
48 – 40 = 8
Since the sign of the bigger number is negative, the result is (–8).

∴ 4 × 10 + 4 × (–12) = –8